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Finding the Fourth Proportional to 8,049.84, 12,072.33 and 2,854.50

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Solution

The fourth proportional to 8,049.84, 12,072.33 and 2,854.50 is: 4,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.84 : 12,072.33 = 2,854.50 : x
  2. Step 2: Convert to fraction form
    8,049.84/12,072.33 = 2,854.50/x
  3. Step 3: Cross multiply
    8,049.84x = 12,072.33 × 2,854.50
  4. Step 4: Simplify right side
    8,049.84x = 34,460,465.99
  5. Step 5: Solve for x
    x = 34,460,465.99/8,049.84
  6. Step 6: Final answer
    x = 4,280.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.